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Finding the Fourth Proportional to 8,211.54, 12,317.62 and 2,873.68

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Solution

The fourth proportional to 8,211.54, 12,317.62 and 2,873.68 is: 4,310.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.54 : 12,317.62 = 2,873.68 : x
  2. Step 2: Convert to fraction form
    8,211.54/12,317.62 = 2,873.68/x
  3. Step 3: Cross multiply
    8,211.54x = 12,317.62 × 2,873.68
  4. Step 4: Simplify right side
    8,211.54x = 35,396,860.26
  5. Step 5: Solve for x
    x = 35,396,860.26/8,211.54
  6. Step 6: Final answer
    x = 4,310.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.